4.37 Gender Bias? Consider the following case. The eight-member Human Relations Advisory Board considered the complaint of a woman who claimed discrimination, based on her gender, on the part of a local surveying company. The board, composed of five women and three men, voted 5-3 in favour of the plaintiff, the five women voting for the plaintiff and the three men against. The lawyer representing the company appealed the board's decision by claim- ing gender bias on the part of the board members. If the vote in favour of the plaintiff was 5-3 and the board members were not biased by gender, what is the probability that the vote would split along gender lines (five women for, three men against)?